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A certain NYC taxi driver has decided to start charging a [#permalink]

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29 Oct 2008, 06:29

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65% (hard)

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55% (00:46) correct
45% (00:43) wrong based on 568 sessions

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A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

A. 3xr/2 B. 3x/200r C. 3r/200x D. 3xr/200 E. xr/600

A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount? A. 3xr / 2 B.3x / 200r C. 3r / 200x D.3xr / 200 E. xr / 600

Charge for One person and One mile = r cents i.e. Charge for 3 persons and One mile = 3*r cents i.e. Charge for 3 persons and 'x' miles = 3*r*x cents

After Discount, Charge = 50% of (3*r*x) cents i.e. Charged Amount = (1/2)*(3*r*x) cents

But 1 Dollar = 100 Cents

i.e. Charged Amount in Dollar = (1/2)*(3*r*x)/100 Dollars i.e. Charged Amount in Dollar = (3*r*x)/200 Dollars

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You seem to have missed converting Cents in to Dollars

I hope it helps!
_________________

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A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

A. 3xr/2 B. 3x/200r C. 3r/200x D. 3xr/200 E. xr/600

Here's an algebraic approach:

A certain taxi driver charges a rate of r CENTS per person per mile r CENTS = r/100 DOLLARS [e.g., 3 cents = 3/100 dollars] Since there are 3 people, the rate is (3)(r/100) DOLLARS per mile In other words, the rate is 3r/100 dollars per mile. With a 50% discount, the new rate = (1/2)(3r/100) In other words, the discounted rate = 3r/200 dollars per mile.

[how much] would it cost three people to travel x miles? TOTAL cost = (rate)(distance) = (3r/200 dollars per mile)(x miles) = 3rx/200 dollars =

Re: A certain NYC taxi driver has decided to start charging a [#permalink]

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26 Sep 2016, 12:08

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amitdgr wrote:

A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

A. 3xr/2 B. 3x/200r C. 3r/200x D. 3xr/200 E. xr/600

Quote:

The taxi driver is charging : At a rate of r cents per person per mile.

So, Charges for 3 people to travel x miles will be : \(3*x*r\)% => \(\frac{3rx}{100}\)

Quote:

he decides to give them a 50% discount

Charges for 3 people to travel x miles will be : \(\frac{3rx}{100} * 50\)% => \(\frac{3rx}{100}*\frac{50}{100}\) = \(\frac{3xr}{200}\)

So, Answer will be (D) \(\frac{3xr}{200}\) _________________

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Abhishek....

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Concentration: International Business, General Management

A certain NYC taxi driver has decided to start charging a [#permalink]

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03 Jun 2017, 05:25

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Test values: let r be 100, so r equals 100 cents or $1. Now the driver charges for one person $1 per mile, that means he will charge for 3 people $3 per mile. Now let x equals 2. For 2 miles the driver will charge now for the 3 people $6. Now consider the 50% discount, which leads to the final charge of $3 for the 3 people. If you plug in now the values x=2, r=100 you will get for A 300, which is the amount in cents but the question clearly states that we want the amount in dollars. Only option D yields 3 and thus is a match. D is the answer!